The portfolio distribution came ahead of the presentation of the state budget on March 24.
Last week, Parrikar won a crucial floor test in the Assembly after the BJP succeeded in securing the number of legislators required for government formation by enlisting the support of the Maharashtrawadi Gomantak Party (MGP), the Goa Forward Party (GFP) and Independents, after the polls threw up a hung verdict.
While Parrikar has kept the crucial portfolios such as Home, Finance and Education with himself, he has allotted one each to the nine ministers.
Among the BJP's allies, MGP MLA Sudin Dhavalikar was given the charge of the Public Works Department, which was under him in the previous BJP-led government in the state headed by Laxmikant Parsekar.
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Another MGP leader, Manohar Asgaonkar, will be the Tourism Minister.
All three MLAs of another BJP ally, the GFP, were also allotted ministries.
While GFP MLA Vijai Sardesai was allotted Town and Country Planning, his party colleagues Jayesh Salgaoncar and Vinod Palyekar will head the Housing and Water Resources ministries respectively.
Three MLAs each of the MGP and the GFP, besides three Independent legislators, are supporting the BJP-led coalition government in the coastal state, while NCP's Churchill Alemao is providing outside support.
The Parrikar-led government was sworn in on March 14, two days after the BJP staked claim to form government in Goa, despite ending up behind the Congress in the recently-concluded Assembly polls.
The BJP has 13 MLAs as against the Congress' 17 in the 40-member House.